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Basis of invariants and canonical forms for linear dynamic systems. (English) Zbl 0307.93010

MSC:
93B10 Canonical structure
93C05 Linear systems in control theory
93A10 General systems
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[1] Luenberger, D.G., Canonical forms for linear multi-variable systems, IEEE trans. short papers, AC-12, 290-293, (1967)
[2] Popov, V.M., Some properties of the control systems with irreducible matrix-transfer functions, (), Lecture Notes in Mathematics, No. 144 · Zbl 0209.45802
[3] Ackermann, J.E.; Bucy, R.S., Canonical minimal realization of a matrix of impulse response sequences, Inform. control, 19, 224-231, (1971) · Zbl 0224.93010
[4] Bucy, R.S.; Ackermann, J., Über die anzahl der parameter von mehrgrössen-systemen, Regelungstechnik, 18, 451-452, (1970) · Zbl 0205.19603
[5] Mayne, D.Q., A canonical model for identification of multivariable linear systems, IEEE trans. AC, AC-17, 728-729, (1972) · Zbl 0265.93008
[6] Popov, V.M., Invariant description of linear, time-invariant controllable systems, SIAM J. control, 10, 254-264, (1972) · Zbl 0251.93013
[7] Kalman, R.E., On structural properties of linear, constant, multivariable systems, (), paper 6A, London · Zbl 0149.05302
[8] MacLane, S.; Birkhoff, G., Algebra, (1967), Macmillan New York · Zbl 0153.32401
[9] Kalman, R.E.; Falb, P.; Arbib, M., Topics on mathematical system theory, (1969), McGraw-Hill New York · Zbl 0231.49001
[10] Silverman, L.M., Realization of linear dynamical systems, IEEE trans, AC-16, (1971)
[11] Kalman, R.E., Kronecker invariants and feedback, () · Zbl 0308.93008
[12] Gantmacher, F.R., ()
[13] Rosenbrock, H.H., State-space and multivariable theory, (1970), Wiley New York · Zbl 0246.93010
[14] \scJ. Rissanen: Solution of Linear Equations With Hankel and Toeplits Matrices (to appear).
[15] Rissanen, J.; Kailath, T., Partial realization of random systems, (), 389-396, also · Zbl 0243.93026
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